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Results (12 matches)

 

Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	Image	CM	RM	Self-dual	Inner twists	Rank*	Traces				Coefficient ring index	Sato-Tate	$q$-expansion
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
479.1.b.a	$479$	$1$	479.b	479.b	$2$	$2$	$2$	$0.239$	\(\Q(\sqrt{5}) \)	$D_{5}$	\(\Q(\sqrt{-479}) \)	None	✓	$2$	$0$	\(-1\)	\(-1\)	\(-1\)	\(-1\)	$1$		\(q+(-1+\beta )q^{2}+(-1+\beta )q^{3}+(1-\beta )q^{4}+\cdots\)
479.1.b.b	$479$	$1$	479.b	479.b	$2$	$10$	$10$	$0.239$	\(\Q(\zeta_{50})^+\)	$D_{25}$	\(\Q(\sqrt{-479}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q-\beta _{1}q^{2}+\beta _{6}q^{3}+(1+\beta _{2})q^{4}-\beta _{9}q^{5}+\cdots\)
2395.1.c.a	$2395$	$1$	2395.c	2395.c	$2$	$1$	$1$	$1.195$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-479}) \), \(\Q(\sqrt{-2395}) \)	\(\Q(\sqrt{5}) \)	✓	$4$	$0$	\(0\)	\(0\)	\(1\)	\(0\)	$1$		\(q+q^{4}+q^{5}+q^{9}-2q^{11}+q^{16}+q^{20}+\cdots\)
2395.1.c.c	$2395$	$1$	2395.c	2395.c	$2$	$4$	$4$	$1.195$	\(\Q(\zeta_{10})\)	$D_{10}$	\(\Q(\sqrt{-479}) \)	None		$4$	$0$	\(0\)	\(0\)	\(-1\)	\(0\)	$1$		\(q+(\zeta_{10}+\zeta_{10}^{4})q^{2}+(\zeta_{10}+\zeta_{10}^{4})q^{3}+\cdots\)
2395.1.c.d	$2395$	$1$	2395.c	2395.c	$2$	$20$	$20$	$1.195$	\(\Q(\zeta_{50})\)	$D_{50}$	\(\Q(\sqrt{-479}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q+(\zeta_{50}^{3}+\zeta_{50}^{22})q^{2}+(-\zeta_{50}^{7}-\zeta_{50}^{18}+\cdots)q^{3}+\cdots\)
3353.1.f.a	$3353$	$1$	3353.f	3353.f	$6$	$2$	$1$	$1.673$	\(\Q(\sqrt{-3}) \)	$D_{3}$	\(\Q(\sqrt{-479}) \)	None		$4$	$0$	\(1\)	\(1\)	\(-2\)	\(-1\)	$1$		\(q+\zeta_{6}q^{2}-\zeta_{6}^{2}q^{3}-\zeta_{6}q^{5}+q^{6}-\zeta_{6}q^{7}+\cdots\)
3353.1.f.b	$3353$	$1$	3353.f	3353.f	$6$	$8$	$4$	$1.673$	\(\Q(\zeta_{15})\)	$D_{15}$	\(\Q(\sqrt{-479}) \)	None		$4$	$0$	\(-1\)	\(-1\)	\(2\)	\(1\)	$1$		\(q+(\zeta_{30}^{8}+\zeta_{30}^{12})q^{2}+(-\zeta_{30}^{3}-\zeta_{30}^{7}+\cdots)q^{3}+\cdots\)
3353.1.f.c	$3353$	$1$	3353.f	3353.f	$6$	$40$	$20$	$1.673$	\(\Q(\zeta_{75})\)	$D_{75}$	\(\Q(\sqrt{-479}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q+(\zeta_{150}^{54}-\zeta_{150}^{71})q^{2}+(-\zeta_{150}^{49}+\cdots)q^{3}+\cdots\)
3832.1.c.a	$3832$	$1$	3832.c	3832.c	$2$	$1$	$1$	$1.912$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-479}) \), \(\Q(\sqrt{-958}) \)	\(\Q(\sqrt{2}) \)	✓	$4$	$0$	\(1\)	\(0\)	\(0\)	\(-2\)	$1$		\(q+q^{2}+q^{4}-2q^{7}+q^{8}+q^{9}-2q^{14}+\cdots\)
3832.1.c.d	$3832$	$1$	3832.c	3832.c	$2$	$4$	$4$	$1.912$	\(\Q(\zeta_{10})\)	$D_{10}$	\(\Q(\sqrt{-479}) \)	None		$4$	$0$	\(-1\)	\(0\)	\(0\)	\(2\)	$1$		\(q-\zeta_{10}^{3}q^{2}+(\zeta_{10}^{2}+\zeta_{10}^{3})q^{3}-\zeta_{10}q^{4}+\cdots\)
3832.1.c.e	$3832$	$1$	3832.c	3832.c	$2$	$20$	$20$	$1.912$	\(\Q(\zeta_{50})\)	$D_{50}$	\(\Q(\sqrt{-479}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q-\zeta_{50}^{19}q^{2}+(-\zeta_{50}^{11}-\zeta_{50}^{14}+\cdots)q^{3}+\cdots\)
479.3.b.a	$479$	$3$	479.b	479.b	$2$	$25$	$25$	$13.052$		$_{}$	\(\Q(\sqrt{-479}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$\mathrm{U}(1)[D_{2}]$